摘要:基于非单调的frame概念,提出了一个求解无约束最优化问题的直接搜索共轭梯度算法.该算法不使用充分下降条...基于非单调的frame概念,提出了一个求解无约束最优化问题的直接搜索共轭梯度算法.该算法不使用充分下降条件而能够在网格(grid)之外进行搜索,这一点不同于Gss(generating set search)算法框架,后者为了实现网格之外的搜索必须使用充分下降条件或者移动网格(moving grids)技术或者有理点阵(rational lattice)技术.在一定的条件下,该算法的全局收敛性也得到了证明.数值试验表明,该算法是有效的.显示全部
摘要:A kind of nonlinear elliptic problems has been solved by a Schwarz algorithm.An asymptotic geometri...A kind of nonlinear elliptic problems has been solved by a Schwarz algorithm.An asymptotic geometric convergence rate is derived, and a numerical method forthe subproblems is proposed. Finally, a numerical example is given.显示全部